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Calderón–Zygmund operators on Herz type Hardy spaces

✍ Scribed by Yasuo Komori

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
180 KB
Volume
286
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider the boundedness of Calderón-Zygmund operators from H Kα,p q (R n ) to h Kα,p q (R n ), where H Kα,p q (R n ) is the Hardy space associated with the Herz space Kα,p q (R n ) and h Kα,p q (R n ) is the local version of H Kα,p q (R n ). We show Calderón's commutator is bounded from H Kα,p q to h Kα,p q .

📜 SIMILAR VOLUMES

Weak type estimates for Calderón-Zygmund
Weak type estimates for Calderón-Zygmund operators on Herz spaces at critical indexes
✍ Yasuo Komori 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB

## Abstract We define weak Herz spaces $ \dot K ^{\alpha , p, \infty} \_{q} $(ℝ^__n__^) which are the weak version of the ordinary Herz spaces $ \dot K ^{\alpha , p} \_{q} $(ℝ^__n__^). We consider the boundedness of Calderón‐Zygmund operators from $ \dot K ^{\alpha , p} \_{q} $ to $ \dot K ^{\alpha